Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation
By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized Zakharov equation are classified in to different parametric regions. In each of these parametric regions the exact explicit parametric representation of all solita...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/170946 |
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| _version_ | 1832545436031778816 |
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| author | Masoud Mosaddeghi |
| author_facet | Masoud Mosaddeghi |
| author_sort | Masoud Mosaddeghi |
| collection | DOAJ |
| description | By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized Zakharov equation are classified in to different parametric regions. In each of these parametric regions the exact explicit parametric representation of all solitary, kink (antikink), and periodic wave solutions as well as their numerical simulation and their corresponding phase portraits are obtained. |
| format | Article |
| id | doaj-art-5cddf8fe29da4d1ba951df91d1bbb19b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5cddf8fe29da4d1ba951df91d1bbb19b2025-02-03T07:25:53ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/170946170946Bifurcation of Travelling Wave Solutions of the Generalized Zakharov EquationMasoud Mosaddeghi0Département de Mathématiques et de Statistique, Université de Montréal, CP 6128, Succursale Centre-Ville, Montréal, QC, H3C 3J7, CanadaBy using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized Zakharov equation are classified in to different parametric regions. In each of these parametric regions the exact explicit parametric representation of all solitary, kink (antikink), and periodic wave solutions as well as their numerical simulation and their corresponding phase portraits are obtained.http://dx.doi.org/10.1155/2014/170946 |
| spellingShingle | Masoud Mosaddeghi Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation Journal of Applied Mathematics |
| title | Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation |
| title_full | Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation |
| title_fullStr | Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation |
| title_full_unstemmed | Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation |
| title_short | Bifurcation of Travelling Wave Solutions of the Generalized Zakharov Equation |
| title_sort | bifurcation of travelling wave solutions of the generalized zakharov equation |
| url | http://dx.doi.org/10.1155/2014/170946 |
| work_keys_str_mv | AT masoudmosaddeghi bifurcationoftravellingwavesolutionsofthegeneralizedzakharovequation |